The three common pha(5jm:c nq4ip v ;x*vumses of matter are

  Density is

  Substance A has a den4o ykr7+3btol sity of $3.0 \; g/cm^{3}$ and substance B has a density of $4.0 \; g/cm^{3}$. In order to obtain equal masses of these two substances, the ratio of the volume of A to the volume of B will be equal to

  Pressure is

  Which of the following is not a unit of *-r) cn0.;hvebeji ou,f7mb opressure?

  Consider three drinking glasses. :i6ih6 (26sluc5rl ea fwvd i+All three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wider at the top than at the bottom, and so holds more water than A. Glass C is narrower at the top than at the bottom, and so holds less water than A. Which glass has the greatest liquid pressure at the bof256a (svdr+iwhlei l: 66 iucttom?

  What is the difference b1lq .ve-e*yaaetween the pressures inside and outside a tire called?

  When atmospheric pressure changes, what happenqky2i jz20;qx,/ .xg *j ifjkas to the absolute pressure at the bottom of a pooq2x, j *jgjyq;f0x ka i/kz2i.l?

  You are originally 1.0 l/5mi.hzv6g 5eb y5ru m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pry5. rbzi/huvl565 mgeessure on you?

State Pascal's princg sn osuu7,i:dvx 35.p3e.do)3enj bsiple.

State Archimedes' princio w av4womd:ir;5 .-i7qm4n slple.

  $50 \; cm^{3}$ of wood is floating on water, and $50 \; cm^{3}$ of iron is totally submerged. Which has the greater buoyant force on it?

  As a rock sinks deeper and deeper into water odop m9/f q,s;0jb a5kff constant density, what happens to th f ,ks9m5b/odj qfap0;e buoyant force on it?

  Salt water has greater densit 4y1ewrnj)oc j tjz)b4fsrtt)x:05j8 y than fresh water. A boat floats in both fresh water and in salt water. Where i:tw) c 4jrsotj byr4ntzf0xj)5e j81)s the buoyant force greater on the boat?

  Salt water is more dense than fresaqazt dz/;d*ep1e 8u9 h water. A ship floats in both fresh water and salt water. Compared t a9 udd1azet/q ;*8ezpo the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but flondskh *: ff(3mth8nl ;ats in a pool of mercury. Where is the buoyant forcehk8nhn( dt:;*fl3sfm on the ball greater?

  A 10-kg piece of aluminum sits at the b o -t(xo,ci/uptp( hz0xy(6 gkottom of a lake, right next to a 10-kg piece of lead. Which has the great-/go pi (uto 0,6xkyxt cp((hzer buoyant force on it?

  A piece of iron rests on top of a pifqy3l6 -ese1tece of wood floating in a bathtub. If the iron is r-esq e6t31lyf emoved from the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. v7 o6mps9 kq8:6m bnei A second piece of wood sits on top of the first piece, and does not touch the water. If the top piece is taken off and vkqo n9i pm676me:s b8placed in the water, what happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is larger than ps w1yxxz.jqmd)1h9,;nic.u at point A. Where is the speed of the water greate,u)9p.hjq ;dxis1. 1nmc zywx r?

  An ideal fluid flows a hm 9 yst8*bj:d))gd1cg3 pozet 12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider sectgt cdjh) 1ze)9y omds83 g*bp:ion?

  An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe narrows to halfro.a wg1y2kv mfs;h/+ its original radius, what is the flow speed ;f .gvaw+ro2msh /k1yin the narrower section?

State Bernoulli's pr rs2 z(jz;5y8zdwsbu,n 5d 9orinciple.

  Which one of the following is ass;fvpldz0defumr-)8 r u6p7c(ociated with the law of conservation of energy in f6vef(mf) ; rz u8ppulr70c-d dluids?

  As the speed of a moving fluid increases, the pressure in tqy4e/omnmq; e4jn xr9-tc t:+see9 .mhe fluid

  Water flows through a pipe. The diameter of 2zv ;zh lhj)hw7di:h +y 1n6zgthe pipe at point B is larger than at point hljzdhn zg h1+ wvy;:)z2h i76A. Where is the water pressure greatest?

  When you blow some air above a paper strip, the paper rises. This is bj4tm7(irf qz dtm:.7u ecause

  A sky diver falls through the air at terminal velocity. The force of air rj97lx,/ztvwl hic:g30b5s( di rh b8 desistcsgr i:9 hldt 7(bxd5bv038/zl h jw,iance on him is

  Two Styrofoam balls, ofl(0ad3v*l6sbx6sjx s4 sbu/h w7 3rut radii R and 2R, are released simultaneously from a tall tower. Which will reach the ground firslsuv0 xw ul*a 6/xbd4j6rhbs(373 tsst?

  When a small spherical rock of radius r falls b89 nj 1:qnduqthrough water, it experiences a drag fou8d9q 1 nnq:bjrce $F=arv$, where $v$ is its velocity and $a$ is a constant proportional to the viscosity of water. From this, one can deduce that if a rock of diameter 2.0 mm falls with terminal velocity, $v$, then a rock of diameter 4.0 mm will fall with terminal velocity .

  Which has the greatest effect oe90np4g/nap;go dd*qn the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantities below, which woulq4; o nag*09dndgep/pd cause the greatest change in the flow rate?

  Two horizontal pipes are the sotgcakgij .+2y xs:62:q57dp spm v1u ame length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. k +: :i6o2sg2 sxpt1acjpg u5 .dmqvy7 If the flow rate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as long as pic:jpnj : o.:qikb+bu 4ujv h8;pe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow rate in pipe B is Q, what is the flow rate in pipe .4:8qoiuvujn::;jj+bpbckh A?

  When soup gets cold, it often tastes greasy. This "greasy" taste seemrths 6 ,4 hpw7/emmav5s to be associated with oil spreading out all over the surface of the soup, instead of staying in little glo6 7sveph /th,mm a5r4wbules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is ple0b 294iocq lnaced in water, the water rises to a height h. If the diameter were half as great,ob294 eic0nql how high would the water rise?

  Certain insects, such as the water bug, are sufficiently lig ydztw:;8tiqad*m - m8htweight that they can run on top of water without br ;t8az:iwt dmm*d- yq8eaking the surface tension. Water bug A has weight W. Water bug B is twice as big as bug A, in all dimensions. That is, bug B is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such l ;f .ulaux)g 48xvd;has the water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. This is possible because the water, due to surface tension, exerts an upward force on the bottom of the bug's feet. Suppose that the maximum possible upward force on the feet of water bug A is F. Now suppose that water bug B is twice as big as bug A in every dimension. That is, b; . gau vd);4xluxhfl8ug B is twice as long, twice as wide, etc. What is the maximum upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm hasdyqlik. c98w q0 )+ecb a mass of 30.0 g. What is iq yb.dlqck)+0icw8 9 ets density?

  A liquid has a specific gravity 2u lo v n)l 9bm; 2z7xdat.)6qrpjd(glof 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. Wha ubg9:9rf8jho+e 97 uqx0nomqt is the maximum pressure it can exert on a ho9:omh9qq+ 08guu9e fb xn rj7orizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe has a r3)irs19kh ir cpnbh9itjdp 2(8ve12 rea $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must aowl y5-xho: v+tbs/ j, submarine withstand at a depth of 120.0 m in the ocean w5:yh/vo- t, xjsol+b?

  A circular window of 30 cm diameter in a submarine cqpi w)h. )2phian withstand a maximum force 2 .))pihpqh wiof $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure if the absolute pressur8h+v lp7o tear2.rc,z0471q otsnngj,sh7a ae is 300 kPa?

  What is the gauge pressure at a location 15.0 m bsk 7hb8oe2fct 7h +7wpelow the surface of sea? (The density of seawater w7khe77ofbps+2h8 t c is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface of sea? jojvi/y c. 0 pjn0q+a- 2*cxof (The density-px/aon*+0j c f0 oij.q2jvyc of seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. 5r3xjl. z5toa0qy89n b:mj/ vl8jdlqThe small piston has ay 5l3xlqb9 odlvtz j8rmn j/a .85:0qjrea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small piston h,5k8tmknrcd) as a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be applied on the small piston in order to lift)rmkcd58kn , t a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by *upqtl*lo 15t:t(afc a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomc l*po:(t*a1t 5 tfulqplish this?

  The small piston of a hydraulgb zy- v./qt e8p 2dja1-1pxgjic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a loa1-p t8e1. zajvgg dy q2x/p-bjd of 15,000 N.
(a) Determine the force that must be applied to the small piston    $N$ (fill in numerical value only)
(b) Determine the pressure applied to the fluid in the lift    $\times 10^5 \; Pa$ (fill in numerical value only)

  A block of metal weighs 40 N in air and 30 N in water. What is the buoyaner+vm8 lcapbo ,:92 qmt force of the water?ar +mp:, qelvo m28bc9

  An object has a volum, :k* a1-zln.mkhhe bxe of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder ofsq+r,j1fg l.nl j)i2c solid iron is supported by a string while submerged in water. What is the tension in the string? (The specific gravity of iron is l2 cfis.)+nrjj,1g lq 7.86.)

  If the density of gold ish rv-s0uhvr)g hbd5,6 $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (d2zx oxienibbf15x36,ensity = $7.8 \times 10^3 \; kg/m^{3}$) of mass 20,000 kg. What is the tension in the lifting cable (1) when the submarine is submerged, and (2) when it is entirely out of the water?

  An object weighs 7.84 N wh, hwfn bo8c4j.m4h2se en it is in air and 6.86 N when it is immersed in water. What is the specific bf4 ej.nh,wshm 2co8 4gravity of the object?

  A container of water is placed on a scale,h vnu /afrbkff r62+ 0a.(dbw3 and the scale reads 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thread and lowered into the water, not touubhr(n23 aa6r+wd f ./0 kffvbching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1.0 kg and densit: 1tcj4ikr-n+ zc8a+n63 w s spjb.knay of $2700 \; kg/m^{3}$ is suspended from a string and then completely immersed in a container of water. The density of water is $1000 \; kg/m^{3}$.
(a) Determine the volume of the piece of aluminum    $\times 10^{-4} \; m^3$ (fill in numerical value only)
(b) Determine the tension in the string after the metal is immersed in the container of water $N$ (fill in numerical value only)

  A cylindrical rod of lengt4in xca-+ 58 wld3e0;zosj xeph 12 cm and diameter 2.0 cm will just barely float in water. What is its masseda i53j0opc8xnz4sw xl; -+e?

  A rectangular box of negligible mass measures 5.0 m long, 1.0 m wide, and //r98vc m+ 7vfa6fup falna0t0.50 m high. How many kilouan/ r0pcl9 vfvfa7+at m/f 68grams of mass can be loaded onto the box before it sinks in a lake?

  A $1.0 m^{3}$ object floats in water with 20% of it above the waterline. What does the object weigh out of the water?

  An object floats with half its vol0zu yy4ts) jvq1twk+ du-dhp 70t4xh:ume beneath the surface of the water. The weight of the displaced water is 2000 N. What is th dx4 40vduy-h qw0s71jy)ptztk ut:+he weight of the object?

  A solid object floats in water with three 36y/z8cv,junvw-esq -fourths of its volume beneath the surface. What is q s/n ,zw-cvuyv86 ej3the object's density?

  A 200-N object floats with three-fourths of itsv-y3wzw +wncy-(iwy1pg5b d , volume beneath the surface of the water. What is the buoyant force on th3y,5 dyywpw i -wvc(1+ nw-gzbe object?

  A polar bear of mass 200 kg stands on an ice floe 1n zqt)96qgxkdd7b45nymx3 -wcta 1b 100 cm thick. What is the minimum area of the floe that will just sup5q3bdmzt 1ta-qkxy1dw 6 bnc4 9x7)n gport the bear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of dg8u4e* l kd2uliameter 3.0 cm at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diameter pip;w 5j+x q crhnm)h(uu2e at 1.0 m/s. There is a 2.0 cm diameter restrictiq)2cwnrj mu+x(uh5;h on in the line. What is the velocity in this restriction?

  Water flows at 12 m/s in a horizontal pip47zjpgce)b6baqz3 6a e with a pressure of $3.0 \times 10^4 \; N/m^2$. If the pipe widens to twice its original radius, what is the pressure in the wider section?

  How much pressure does it take for a pump to supply a drinking fou3a)e/p pf nq wqbt6i16ntain with 300 kPa, if the fountain is 30.0 m above thea)6tp/e3i1f wpq q 6nb pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storage tank that hbr pv n/i-yx1:qpei. +olds water at a depth of 15 m. At :x y-.1iveq/ prbipn +what rate will water flow out of the hole?

  Water flows through amv. ntn,54j dg inmp35 horizontal pipe of cross-sectional area $10.0 \; cm^{2}$ at a pressure of 0.250 atm. The flow rate is $1.00 \times 10^{-3} \; m^{3}/s$. At a valve, the effective cross-sectional area of the pipe is reduced to $5.00 \; cm^{2}$. What is the pressure at the valve?

  SAE No. 10 oil has a viscosity of 0.20 Pa-s. How long would it trwlonicx) dq1pv c k 2+-4c*bjw18nr0 ake to pour 4.0 L of oil through a funnel with a neck 15 cm lxwccj0 *r8inpoqbl42kc11 n)-vrwd + ong and 2.0 cm in diameter? Assume the surface of the oil is kept 6 cm above the top of the neck, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-up of fatty tissue on ta80zkp m*)6o.z sb / q(lbme m/(c;yaap h:cxfhe wall of an artery decreased the radius by 10%. By how much would the hm; k( o my:pe6/cl)campq b xb z(8az/*f0a.spressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placjow5ywi/8;ptey /q 2k ed in a pan of water. Tube A has twice the diameter of tube B. If water risew/yt/y ep25;i 8joqkws 24 cm in tube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will watai+r;jj b20a zer rise in a capillary 2ajra+jiz b0; tube of diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capiqn*m r,2dqi7 vllary tube with a diameter n m7 dq*ir,q2vof
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the waterneyak r9b 8ao3x sq93)sj1i7:8 rh jto rises in the tube to 4.0 cm above the level of the pan. The surface tensi7 s 8a1389n 9 jqxr3h:b)yokrjeost aion in the liquid is lowered to one-half its original value by the addition of some soap. What happens to the height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with a soap oky/*yo),jqh*b z)t rhd/7dcrg:8r:l k.pa x film formed within its confinedxryt:dhz bj,dp:7r.q 8c )lkhy*/oo)a g*/k r area. If the surface tension of soapy water is 0.0260 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frameo q zyd7l*yk- 3aoan90 has length 12 cm and width 5 cm, and is built in such a way that one of the longer sides can be moved without bursting the soap film contained in the frame. Soapy water has surface tension 0.026 N/m. How much work is required to mova9y olnzk03-qy 7 aod*e the adjustable long side so that the frame is 12 cm square?